齐次系统(homogeneous system)其数学描述具有齐次特性的非线性系统.构成这类系统的向量场.f (.})具有齐次性质，即
然后考虑了具有高阶扰动项的齐次系统，对此系统也得到了与无扰动项时的相似结论。
Then, a similar result of homogeneous systems with higher degree perturbed terms are also obtained.
针对一类非线性连续级联系统，利用齐次系统的齐次性质给出了其全局一致稳定性分析结果。
Globally uniform stability is obtained for a class of nonlinear continuous cascaded systems by using homogeneous properties of homogeneous systems.
本文讨论了具有一个零特征根的非线性齐次系统的局部拓扑结构，并给出利用系统右端多项式系数的判断准则。
In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.
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